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Finding the Fourth Proportional to 1,980.69, 2,972.03 and 884.76

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Solution

The fourth proportional to 1,980.69, 2,972.03 and 884.76 is: 1,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.69 : 2,972.03 = 884.76 : x
  2. Step 2: Convert to fraction form
    1,980.69/2,972.03 = 884.76/x
  3. Step 3: Cross multiply
    1,980.69x = 2,972.03 × 884.76
  4. Step 4: Simplify right side
    1,980.69x = 2,629,536.27
  5. Step 5: Solve for x
    x = 2,629,536.27/1,980.69
  6. Step 6: Final answer
    x = 1,327.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.